257553005 has 8 divisors (see below), whose sum is σ = 311033112. Its totient is φ = 204729408.

The previous prime is 257553001. The next prime is 257553017. The reversal of 257553005 is 500355752.

It can be written as a sum of positive squares in 4 ways, for example, as 2128681 + 255424324 = 1459^2 + 15982^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 257553005 - 2² = 257553001 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257553001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163262 + ... + 164831.

It is an arithmetic number, because the mean of its divisors is an integer number (38879139).

Almost surely, 2^257553005 is an apocalyptic number.

It is an amenable number.

257553005 is a deficient number, since it is larger than the sum of its proper divisors (53480107).

257553005 is a wasteful number, since it uses less digits than its factorization.

257553005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328255.

The product of its (nonzero) digits is 26250, while the sum is 32.

The square root of 257553005 is about 16048.4580256173. The cubic root of 257553005 is about 636.2418132014.

The spelling of 257553005 in words is "two hundred fifty-seven million, five hundred fifty-three thousand, five".